A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x-bar is used to estimate μ. What is the probability that the sample mean will be within ±15 of the population mean? State your answer as a decimal with 4 decimal places.
Added by Juan T.
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The standard error of the mean is the standard deviation divided by the square root of the sample size. In this case, the standard error is 50/sqrt(100) = 5. Show more…
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